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Talja [164]
3 years ago
6

Five dollars more than half the price of sweater is equal to 40.39 what is the full price of the sweater

Mathematics
1 answer:
Sauron [17]3 years ago
5 0
Define variables:
w = price of a sweater, in dollars
h = price of a shirt, in dollars
2. Set up two equations representing the problem:
w+=+2h+-+5
4h+%2B+3w+=+275
3. Since an equation for one variable is solved, substitute the answer for the variable in the other equation:
4h+%2B+3%282h+-+5%29+=+275
4. Distribute the 3:
4h+%2B+6h+-+15+=+275
5. Combine two terms:
10h+-+15+=+275
6. Add 15 to both sides:
10h+-+15+%2B+15+=+275+%2B+15
7. Cancel and combine terms:
10h+=+290
8. Divide both sides by 10:
%2810h%29%2F10+=+290%2F10
9. Finish simplification:
h+=+29
10. Replace h in your first equation:
w+=+2%2829%29+-+5
11. Solve for w:
w+=+58+-+5
w+=+53
12. Combine your solved equations with your variable definitions for your answer:
A shirt costs $29 and a sweater costs $53.
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MrRissso [65]

Answer:

We know that C is the total number of cans in a complete case.

Victoria counts:

16 full cases, so in those we have: 16*C cans.

4 cases with 5 missing cans, so in those we have:

Then if each case has C cans, the cases that are missing 5 cans have:

C - 5 cans.

Then in those four cases we have a total of: 4*(C - 5) cans.

And Victoria knows that there are 220 cans, then we have that:

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Then each case has 12 cans.

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Step-by-step explanation:

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2 years ago
What is the sum of 2/11’ 2/7’ and 1/11’?
pav-90 [236]
Solution

To solve this addition of fractions we are gonna apply the fraction rule which is;

a/c + b/c = (a + b)/c

2/11 + 1/11 = (2 + 1)/11


= (2 + 1)/11 + 2/7

Now add the numerators 2 + 1

= (2 + 1)/11 + 2/7

= 3/11 + 2/7

Now we find the least common multiple

The least common multiple of 11 and 7 is 77.

But before that we cross multiply the numerators.

3 * 7 = 21
2 * 11 = 22

Now the ajustes fraction is;

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Apply the fraction rule which is;

a/c + b/c = (a + b)/c

= (21 + 22)/77

Now we add the numerators.

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marysya [2.9K]
5/6 is greater.
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kirill [66]
8^4x=135
log(8^4x)=log(135
4x*(log(8))=log(135)
4x=log(135)/log(8)
4x=2.358939
4x/4=2.358939/4
x=0.589735
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3 years ago
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